4 citations · 7 across the 3 of their papers we have counts for
3 papers
math.NA2024
Strong Approximation of Stochastic Semiclassical Schroedinger Equation with Multiplicative Noise
Lihai Ji, Zhihui Liu
We consider the stochastic nonlinear Schroedinger equation driven by a multiplicative noise in a semiclassical regime, where the Plank constant is small. In this regime, the soluti…
math.NA2024★ 4 cited
Numerical Ergodicity of Stochastic Allen--Cahn Equation driven by Multiplicative White Noise
Zhihui Liu
We establish the unique ergodicity of a fully discrete scheme for monotone SPDEs with polynomial growth drift and bounded diffusion coefficients driven by multiplicative white nois…
math.PR2020★ 3 cited
Asymptotic Log-Harnack Inequality for Monotone SPDE with Multiplicative Noise
Zhihui Liu
We derive an asymptotic log-Harnack inequality for nonlinear monotone SPDE driven by possibly degenerate multiplicative noise. Our main tool is the asymptotic coupling by the chang…